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Finding the Fourth Proportional to 261,993.96, 361,551.60 and 142,761.96

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Solution

The fourth proportional to 261,993.96, 361,551.60 and 142,761.96 is: 197,011.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,993.96 : 361,551.60 = 142,761.96 : x
  2. Step 2: Convert to fraction form
    261,993.96/361,551.60 = 142,761.96/x
  3. Step 3: Cross multiply
    261,993.96x = 361,551.60 × 142,761.96
  4. Step 4: Simplify right side
    261,993.96x = 51,615,815,057.14
  5. Step 5: Solve for x
    x = 51,615,815,057.14/261,993.96
  6. Step 6: Final answer
    x = 197,011.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.